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Finding the Third Proportional to 90,231.50 and 126,145.25

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Solution

The third proportional to 90,231.50 and 126,145.25 is: 176,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,231.50 : 126,145.25 = 126,145.25 : x
  2. Step 2: Convert to fraction form
    90,231.50/126,145.25 = 126,145.25/x
  3. Step 3: Cross multiply
    90,231.50x = 126,145.25 × 126,145.25
  4. Step 4: Simplify right side
    90,231.50x = 15,912,624,097.56
  5. Step 5: Solve for x
    x = 15,912,624,097.56/90,231.50
  6. Step 6: Final answer
    x = 176,353.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.